https://file.aiquickdraw.com/mathbot/file/1729361690702us36ml64.jpg

To help you fill out this table, we need to calculate the values of \(x^2\) and \(x^3\) for different values of \(x\). Here's how we can proceed based on the numbers available in the image:

### Given Data:
The numbers available for \(x\) are: 
\[ 0, 5, 10, 50, 100 \]

The corresponding squares \(x^2\) and cubes \(x^3\) will be:

1. **\(x = 0\):**
   - \(x^2 = 0^2 = 0\)
   - \(x^3 = 0^3 = 0\)

2. **\(x = 5\):**
   - \(x^2 = 5^2 = 25\)
   - \(x^3 = 5^3 = 125\) (already filled in the table)

3. **\(x = 10\):**
   - \(x^2 = 10^2 = 100\)
   - \(x^3 = 10^3 = 1,000\) (already filled in the table)

4. **\(x = 50\):**
   - \(x^2 = 50^2 = 2,500\)
   - \(x^3 = 50^3 = 125,000\)

5. **\(x = 100\):**
   - \(x^2 = 100^2 = 10,000\)
   - \(x^3 = 100^3 = 1,000,000\)

### Filling the Table:
Based on these calculations, the completed table should look like this:

| \(x\) | \(x^2\) | \(x^3\) |
|:----:|:------:|:------:|
| 0    | 0      | 0      |
| 5    | 25     | 125    |
| 10   | 100    | 1,000  |
| 50   | 2,500  | 125,000|
| 100  | 10,000 | 1,000,000|

Let me know if you have any questions or need further clarifications!

Here are 5 related questions:
1. What is the relationship between the values of \(x^2\) and \(x^3\)?
2. How would you calculate \(x^4\) for each \(x\) in the table?
3. If \(x = 200\), what would be \(x^2\) and \(x^3\)?
4. What happens to \(x^2\) and \(x^3\) as \(x\) increases?
5. How does \(x^3\) grow in comparison to \(x^2\)?

**Tip:** When squaring or cubing numbers, always remember that even small increases in \(x\) lead to much larger increases in \(x^2\) and \(x^3\).

Complete the table by calculating the missing values of x, x^2, and x^3.

Learn how to complete a table by calculating the squares and cubes of different values of x. This exercise involves understanding exponents and practicing multiplication with key values like 0, 5, 10, 50, and 100. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation